Lots of great he said / she said stuff here. I don't dig thru it but I will say any custodial mother (or father) who does not allow and encourage their children to spend time with the other parent is a horible person and is comitting child abuse. They can lie to themselves and their children but it is still abuse. You chose to have a child with the other parent, deal with it.

Second using your own child to extort "child support" payments is another form of abuse, its putting greed ahead of what is good for your child, and makes you nothing more than a "welfare queen", as welfare is exactly what "child support" is.

As a side note, besides being immoral, "child support" is also illegal if you have taken away the other parents rights. If you asked for the right of sole custody you must assume the obligation of sole support:

The duty to support children is based largely upon the right of a parent to their custody and control. Patron v. Patron, 40 Va. Cir. 379 (1996); Butler v. Commonwealth, 132 Va. 609, 614; 110 S.E. 868 (1922). A parent cannot be compelled to pay support unless he or she has refused or failed to provide for them where he or she lives. Butler, 132 Va. at 614.

There must be a reciprocal and corresponding right and duty. You cannot have one without the other. A "child's right to support and the parent's right to custody and services are reciprocal". RUBINO V. MORGAN, 638 N.Y.S.2d 524, 525, 224 A.D.2d 903 (3rd Dept. 1996). And BOWEN V. GILLIARD, 483 U.S. 587, 107 S. Ct. 3008, 97 L.Ed.2d 485 (1987).